Question

Find the inequality for this graph

Answer 1

ANSWER

$y \geqslant - 2x - 5$

EXPLANATION

First we need to find the equation of the boundary line which passes through (-1,-3) with a y-intercept of -5.

The slope of this line is

$m = \frac{ -5 - - 3}{0 - - 1} = - 2$

The equation of this line is

$y = - 2x - 5$

Since the boundary line is solid and the upper half plane is shaded the required inequality is

$y \geqslant - 2x - 5$

Answer 2

Answer:

y ≥ -2x-5

Step-by-step explanation:

We have given the graph.

We have to find the inequality for this graph.

First, we find the boundary line that passes through the point (-1,-3) and (0,-5).

The slope of this equation is m = -5-(-3)/0-(-1)

m = -5+3/0+1= -2

The standard point slope form of  equation :

y = mx+c

Where c is the y-intercept.

In the graph, the y-intercept is -5 so,

y = -2x-5

The inequality of the graph is :

y ≥ -2x-5

The inequality holds because one line is solid and the upper half plane is shaded.